## Problem of the Week 1016## Peculiar PolynomialsCall a monic polynomial peculiar if its coefficients are in arithmetic progression and its roots are integers. One example is x^2-1, whose coefficients are 1, 0, -1 with roots -1 and 1. Find all peculiar polynomials of degree at least 2.
Source: Bill Sands, Univ. of Calgary, © Copyright 2004 Stan Wagon. Reproduced with permission. |

12 October 2004